hw1-554additional

hw1-554additional - the following statements: (a) ∀ x ∃...

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Homework 1, Additional Problems. (1) Prove that F = { 0 , 1 } with the usual multiplication and usual addition, except that 1 + 1 := 0, is a field. (2) Suppose x > 0 and y > 0 are rational numbers. Determine with proof the validity of
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Unformatted text preview: the following statements: (a) ∀ x ∃ y such that x < y . (b) ∃ x ∀ y such that x ≤ y . 1...
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This note was uploaded on 02/05/2012 for the course MATH 554 taught by Professor Girardi during the Fall '10 term at South Carolina.

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